Least Common Multiple of 87/76, 66/78, 77/45, 88/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/76, 66/78, 77/45, 88/366 quickly i.e. 53592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/76, 66/78, 77/45, 88/366 is 53592.

LCM(87/76, 66/78, 77/45, 88/366) = 53592

LCM of 87/76, 66/78, 77/45, 88/366

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 87/76,66/78,77/45,88/366

Given numbers are 87/76,66/78,77/45,88/366

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 87,66,77,88

Least Common Multiple of Numerators i.e. LCM of 87,66,77,88 is 53592.

GCF of Denominators means GCF of 76,78,45,366 as per the given fractions.

GCF of 76,78,45,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,66,77,88

LCM of Fractions 87/76,66/78,77/45,88/366 is 53592

2 87, 66, 77, 88
3 87, 33, 77, 44
11 29, 11, 77, 44
29, 1, 7, 4

∴ So the LCM of the given numbers is 2 x 3 x 11 x 29 x 1 x 7 x 4 = 53592

Least Common Multiple of 87,66,77,88 with GCF Formula

Least Common Multiple of 87,66,77,88 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,66,77,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,66,77,88) = 1

common factors(in case of two or more numbers have common factors) = 726

GCF(87,66,77,88) x common factors =1 x 726 = 726

LCM(87,66,77,88) = ( 87 × 66 × 77 × 88 ) / 726

LCM(87,66,77,88) = 38907792 / 726

LCM(87,66,77,88) = 53592


Lets's calculate GCF of 76,78,45,366

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53592/1

Therefore the LCM of Fractions 87/76,66/78,77/45,88/366 is 53592

Greatest Common Factor of 76,78,45,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,78,45,366 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 76,78,45,366 . The biggest common factor number is the GCF number.
So the greatest common factor 76,78,45,366 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 87/76, 66/78, 77/45, 88/366

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 87/76, 66/78, 77/45, 88/366?

Answer: LCM of Numerators as per given numbers 87/76, 66/78, 77/45, 88/366 is

LCM of Numerators i.e. for 87,66,77,88 is 53592

GCF of denominators i.e. for 76,78,45,366 is 1.

Thus, LCM of Fractions is 53592.Finally, LCM of Fractions for 87/76, 66/78, 77/45, 88/366 is 53592.